Question : Parallel sides of a trapezium are 21 cm and 14 cm and its area is 875 cm2. What is the distance between parallel sides?
Option 1: 45 cm
Option 2: 60 cm
Option 3: 50 cm
Option 4: 65 cm
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Correct Answer: 50 cm
Solution :
Given, the parallel sides of a trapezium are 21 cm and 14 cm and its area is 875 cm
2
Area of trapezium = $\frac{1}{2}\times (a+b)\times h$
where $a$ and $b$ are parallel sides and $h$ is the distance between parallel sides.
So, $\frac{1}{2}\times(21+14)\times h=875$
⇒ $h=50$
Hence, the correct answer is 50 cm.
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